One-Dimensional Large-Strain Thaw Thermoconsolidation Model for Frozen Saturated Soil under High Temperature
Publication: International Journal of Geomechanics
Volume 24, Issue 12
Abstract
The existing theories or numerical models of thaw consolidation for frozen soil rarely consider the influence of the thermal effect, so it is difficult to analyze the problem of thaw thermoconsolidation for frozen soil under high temperature. Using the piecewise linear approach and finite-difference method, a one-dimensional large strain thaw thermoconsolidation model, called TTCS1, is established for frozen saturated soil under high temperature. The model couples the heat transfer with phase change of frozen soil and the thermoconsolidation deformation, and accounts for the nonlinear changes of soil parameters and large strain during the process of thaw thermoconsolidation under high temperature. When the thermal effect is ignored, TTCS1 shows excellent agreement with the existing large strain thaw consolidation model. When the thermal effect is considered, the numerical solutions of the TTCS1 model are basically consistent with the test values. The influences of the thermal effect, boundary temperature, and boundary conditions on the thaw thermoconsolidation for frozen silty clay are further discussed, and the settlement and settlement rate of frozen soil under high temperature will be significantly underestimated if the thermal effect is not considered.
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Data Availability Statement
All data and models that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This study was supported by the National Natural Science Foundation of China (51608351) and the Natural Science Foundation of Tianjin (18JCYBJC22600).
References
Anderson, D. M., and A. R. Tice. 1972. “Predicting unfrozen water contents in frozen soils from surface area measurements.” Highway Res. Rec. 393 (2): 12–18. https://doi.org/10.1016/0022-4898(73)90017-7.
Bai, B. 2005. “One-dimensional thermal consolidation characteristics of geotechnical media under non-isothermal condition.” Eng. Mech. 22 (5): 186–191. https://doi.org/10.3969/j.issn.1000-4750.2005.05.034.
Bai, B. 2006. “Thermal consolidation of layered porous half-space to variable thermal loading.” Appl. Math. Mech. 27 (11): 1531–1539. https://doi.org/10.1007/s10483-006-1111-1.
Biot, M. A. 1941. “General theory of three-dimensional consolidation.” J. Appl. Phys. 12 (2): 155–164. https://doi.org/10.1063/1.1712886.
Biot, M. A. 1956. “Thermoelasticity and irreversible thermodynamics.” J. Appl. Phys. 27 (3): 240–253. https://doi.org/10.1063/1.1722351.
Booker, J. R., and C. Savvidou. 1985. “Consolidation around a point heat source.” Int. J. Numer. Anal. Methods Geomech. 9 (2): 173–184. https://doi.org/10.1002/nag.1610090206.
Dumais, S., and J.-M. Konrad. 2018. “One-dimensional large-strain thaw consolidation using nonlinear effective stress–void ratio–hydraulic conductivity relationships.” Can. Geotech. J. 55 (3): 414–426. https://doi.org/10.1139/cgj-2017-0221.
Dumais, S., and J.-M. Konrad. 2019. “Large-strain nonlinear thaw consolidation analysis of the Inuvik warm-oil experimental pipeline buried in permafrost.” J. Cold Reg. Eng. 33 (1): 04018014. https://doi.org/10.1061/(ASCE)CR.1943-5495.0000179.
Foriero, A., and B. Ladanyi. 1995. “FEM assessment of large-strain thaw consolidation.” J. Geotech. Eng. 121 (2): 126–138. https://doi.org/10.1061/(ASCE)0733-9410(1995)121:2(126).
Fox, P. J., and J. D. Berles. 1997. “CS2: A piecewise-linear model for large strain consolidation.” Int. J. Numer. Anal. Methods Geomech. 21 (7): 453–475. https://doi.org/10.1002/(SICI)1096-9853(199707)21:73.0.CO;2-B.
Fox, P. J., and H. Pu. 2012. “Enhanced CS2 model for large strain consolidation.” Int. J. Geomech. 12 (5): 574–583. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000171.
Hillel, D. 1980. Fundamentals of soil physics. New York: Academic Press.
Laloui, L., and C. Cekerevac. 2008. “Numerical simulation of the non-isothermal mechanical behaviour of soils.” Comput. Geotech. 35 (5): 729–745. https://doi.org/10.1016/j.compgeo.2007.11.007.
Liu, D., P. Wang, X. Wang, and Y. Hu. 2019. “The mechanism of pipe-trench thaw collapse of buried oil and gas pipelines in permafrost regions.” Oil Gas Storage Transp. 38 (7): 788–792. https://doi.org/10.6047/j.issn.1000-8241.2019.07.011.
Morgenstern, N. R., and J. F. Nixon. 1971. “One-dimensional consolidation of thawing soils.” Can. Geotech. J. 8 (4): 558–565. https://doi.org/10.1139/t71-057.
Nixon, J. F., and N. R. Morgenstern. 1974. “Thaw–consolidation tests on undisturbed fine-grained permafrost.” Can Geotech. J. 11 (1): 202–214. https://doi.org/10.1139/t74-012.
Pothiraksanon, C., D. T. Bergado, and H. M. Abuel-Naga. 2010. “Full-scale embankment consolidation test using prefabricated vertical thermal drains.” Soils Found. 50 (5): 599–608. https://doi.org/10.3208/sandf.50.599.
Sykes, J. F., W. C. Lennox, and R. G. Charlwood. 1974. “Finite element permafrost thaw settlement model.” J. Geotech. Eng. Div. 100 (11): 1185–1201. https://doi.org/10.1061/AJGEB6.0000118.
Wang, C. 2021. Water movement and wetting-induced deformation characteristics of remolded Lanzhou loess under one-dimensional. Xianyang, China: Northwest University of Agriculture and Forestry Science and Technology.
Wang, T., F. Yue, Y. Jiang, and T. Zheng. 2010. “Research and practice on forced thaw technology applied to frozen wall of mine shaft.” J. China Coal Soc. 35 (6): 918–922. https://doi.org/10.13225/j.cnki.jccs.2010.06.010.
Williams, P. J. 1964. “Unfrozen water content of frozen soils and soil moisture suction.” Geotechnique 14 (3): 231–246. https://doi.org/10.1680/geot.1964.14.3.231.
Xu, C. 2021. Comprehensive study on one-dimensional thawing process of frozen soil under variable load or high temperature thawing. Xuzhou, China: China University of Mining and Technology.
Yong, R. N., S. K. Siu, and D. E. Sheeran. 1983. “On the stability and settling of suspended solids in settling ponds. Part I. Piece-wise linear consolidation analysis of sediment layer.” Can. Geotech. J. 20 (4): 817–826. https://doi.org/10.1139/t83-085.
Yu, F., P. Guo, Y. Lai, and D. Stolle. 2020. “Frost heave and thaw consolidation modelling. Part 2: One-dimensional thermohydromechanical (THM) framework.” Can. Geotech. J. 57 (10): 1595–1610. https://doi.org/10.1139/cgj-2019-0306.
Zhou, J., Z. Li, P. Wan, Y. Tang, and W. Zhao. 2021a. “Effects of seepage in clay-sand composite strata on artificial ground freezing and surrounding engineering environment.” Chin. J. Geotechn. Eng. 43 (3): 471–480. https://doi.org/10.11779/CJGE202103010.
Zhou, Y., S. Chen, and S. Feng. 2023a. “One-dimensional large strain nonlinear thaw consolidation model for saturated frozen soil.” Comput. Geotech. 155: 105196. https://doi.org/10.1016/j.compgeo.2022.105196.
Zhou, Y., L. Li, and S. Chen. 2023b. “One-dimensional large strain nonlinear thermal consolidation model for saturated soil.” Chin. J. Rock Mech. Eng. 42 (09): 2306–2314. https://doi.org/10.13722/j.cnki.jrme.2022.1063.
Zhou, Y., R. K. N. D. Rajapakse, and J. Graham. 1998. “A coupled thermoporoelastic model with thermo-osmosis and thermal-filtration.” Int. J. Solids Struct. 35 (34-35): 4659–4683. https://doi.org/10.1016/S0020-7683(98)00089-4.
Zhou, Y., Z. Wu, C. Xu, M. Lu, and G. Zhou. 2021b. “One-dimensional thaw thermo-consolidation model for saturated frozen soil under high temperature and its solution.” Chin. J. Geotech. Eng. 43 (12): 2190–2199. https://doi.org/10.11779/CJGE202112005.
Zhou, Y., L. Zhang, C. Xu, T. Wang, and G. Zhou. 2020. “Analytical solution for classical one-dimensional thaw consolidation model considering unfrozen water effect and time-varying load.” Comput. Geotech. 122: 103513. https://doi.org/10.1016/j.compgeo.2020.103513.
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Published In
International Journal of Geomechanics
Volume 24 • Issue 12 • December 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Sep 25, 2023
Accepted: Jun 11, 2024
Published online: Sep 26, 2024
Published in print: Dec 1, 2024
Discussion open until: Feb 26, 2025
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